Interior and Exterior Angles of Polygons

Front

What is the sum of the exterior angles of any polygon?

Back

360 degrees.

Front

How do you calculate the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles is (n-2) × 180 degrees.

Front

What is the measure of each interior angle of a regular polygon with n sides?

Back

Each interior angle is (n-2) × 180 / n degrees.

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees.

Front

What is the sum of the interior angles of a quadrilateral?

Back

360 degrees.

Front

What is the sum of the interior angles of a pentagon?

Back

540 degrees.

Front

What is the sum of the interior angles of a hexagon?

Back

720 degrees.

Front

If a polygon has 8 sides, what is the sum of its interior angles?

Back

1080 degrees.

Front

What is the relationship between the number of sides of a polygon and the sum of its exterior angles?

Back

The sum of the exterior angles is always 360 degrees, regardless of the number of sides.

Front

What is the measure of each exterior angle of a regular polygon with n sides?

Back

Each exterior angle is 360 / n degrees.